Ricci curvature of submanifolds in Kenmotsu space forms.
Arslan, Kadri, Ezentas, Ridvan, Mihai, Ion, Murathan, Cengizhan, Özgür, Cihan (2002)
International Journal of Mathematics and Mathematical Sciences
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Arslan, Kadri, Ezentas, Ridvan, Mihai, Ion, Murathan, Cengizhan, Özgür, Cihan (2002)
International Journal of Mathematics and Mathematical Sciences
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Kim, Jeong-Sik, Choi, Jaedong (2003)
International Journal of Mathematics and Mathematical Sciences
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Decu, Simona, Haesen, Stefan, Verstraelen, Leopold (2008)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Erol Kılıç, Mukut Mani Tripathi, Mehmet Gülbahar (2016)
Annales Polonici Mathematici
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Some examples of slant submanifolds of almost product Riemannian manifolds are presented. The existence of a useful orthonormal basis in proper slant submanifolds of a Riemannian product manifold is proved. The sectional curvature, the Ricci curvature and the scalar curvature of submanifolds of locally product manifolds of almost constant curvature are obtained. Chen-Ricci inequalities involving the Ricci tensor and the squared mean curvature for submanifolds of locally product manifolds...
Cioroboiu, Dragoş (2003)
International Journal of Mathematics and Mathematical Sciences
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Oprea, Teodor (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Simona Decu, Anica Pantić, Miroslava Petrović-Torgašev, Leopold Verstraelen (2013)
Kragujevac Journal of Mathematics
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Hukum Singh (1985)
Publications de l'Institut Mathématique
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Ziqi Sun (2003)
Colloquium Mathematicae
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Let M be an n-dimensional complete immersed submanifold with parallel mean curvature vectors in an (n+p)-dimensional Riemannian manifold N of constant curvature c > 0. Denote the square of length and the length of the trace of the second fundamental tensor of M by S and H, respectively. We prove that if S ≤ 1/(n-1) H² + 2c, n ≥ 4, or S ≤ 1/2 H² + min(2,(3p-3)/(2p-3))c, n = 3, then M is umbilical. This result generalizes the...
Olteanu, Andreea (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Tripathi, Mukut Mani, Kim, Jeong-Sik, Kim, Seon-Bu (2003)
International Journal of Mathematics and Mathematical Sciences
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Lotta, Antonio (1998)
Balkan Journal of Geometry and its Applications (BJGA)
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Rizza, Giovanni Battista (2003)
Balkan Journal of Geometry and its Applications (BJGA)
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Ewert-Krzemieniewski, Stanisław (1994)
Mathematica Pannonica
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